Question

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Answer 1

Yo sup??

the correct answers to this question are option 2 and 4 ie

real and rational

real because it belongs to the real number line and rational because it can be represented in the p/q form where q≠0

Hope this helps

Answer 2

Answer:

$\frac{1}{3}$ is a rational number as as it can be written in the form $\frac{p}{q}$ where p and q are integers and q ≠ 0. It is also a real number as the set of real number consists of all the natural numbers, whole number, rational number, integers, and irrational number.

Step-by-step explanation:

As we know that any number that can be written in the form $\frac{p}{q}$ is said to be a rational number.

Thus, $\frac{1}{3}$ is a rational number as it can be written in the form $\frac{p}{q}$ where p and q are integers and q ≠ 0.

It is not a natural number as the set of natural number is:

$N\:=\:\left\{\:1,\:2,\:3,\:...\right\}$

It is also not a whole number as the set of whole number is:

$W\:=\:\left\{0,\:1,\:2,\:3,\:...\right\}$

It does also not a belong to integer number as the set of integers is:

$Z=\:\left\{...-3,\:-2,\:-1,\:0,\:1,\:2,\:3,\:...\right\}$

It does also not a irrational number as the irrational numbers are those which can not be written in the form  $\frac{p}{q}$.

BUT

It belongs to the set of real number.

• The real numbers include natural numbers or counting numbers
• whole numbers
• integers
• rational numbers
• and irrational numbers.

Therefore, from the above discussion we can conclude that  $\frac{1}{3}$ is a rational number as as it can be written in the form $\frac{p}{q}$ where p and q are integers and q ≠ 0. It is also a real number as the set of real number consists of all the natural numbers, whole number, rational number, integers, and irrational number.

Keywords: rational number, real number, natural number, whole number

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